Scaled affine quantization of in the low temperature limit

Riccardo Fantoni; John R. Klauder

doi:10.1140/epjc/s10052-022-10807-x

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2023 Impact factor 4.2

Particles and Fields

Open Access

Eur. Phys. J. C (2022) 82: 843
https://doi.org/10.1140/epjc/s10052-022-10807-x

Regular Article - Theoretical Physics

Scaled affine quantization of $φ_{4}^{4}$ $\varphi ^4_4$ in the low temperature limit

Riccardo Fantoni¹^a and John R. Klauder²

¹ Dipartimento di Fisica, Università di Trieste, Strada Costiera 11, Grignano, 34151, Trieste, Italy
² Department of Physics and Department of Mathematics, University of Florida, 32611-8440, Gainesville, FL, USA

^a riccardo.fantoni@posta.istruzione.it

Received: 18 May 2022
Accepted: 14 September 2022
Published online: 28 September 2022

Abstract

We prove through Monte Carlo analysis that the covariant Euclidean scalar field theory, $φ_{n}^{r}$ $\varphi ^r_n$ , where r denotes the power of the interaction term and $n = s + 1$ $$n = s + 1$$ where s is the spatial dimension and 1 adds imaginary time, such that $r = n = 4$ $$r = n = 4$$ can be acceptably quantized using scaled affine quantization and the resulting theory is nontrivial and renormalizable even at low temperatures in the highly quantum regime.

© The Author(s) 2022

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